5th Grade Line Plots and Data Worksheet Solutions (PDF)

5th Grade math worksheet solutions: Line Plots and Data – Maths PDF

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This grade 5 line plots answers for 5th Grade covers line plots and data (Common Core 5.MD.B.2), with a free PDF to print.

Each answer shows how to read the plot, the fraction work, and the final answer with its unit. Compare your totals carefully, since one missed X changes the sum.

Grade 5 · Common Core State Standards: 5.MD.B.2

Grade 5 line plots answers: exercises 1 to 10

Exercise 1 – Count the glasses

Count the X’s: $1+3+3+1=8$.

8 glasses

Exercise 2 – Glasses with one half cup

Look above $\frac{1}{2}$. There are 3 X’s.

3 glasses

Exercise 3 – More than one half cup

Count the X’s above $\frac{3}{4}$ and above 1: $3+1=4$.

4 glasses

Exercise 4 – Greatest minus least

Greatest: 1 cup. Least: $\frac{1}{4}$ cup.

$1-\frac{1}{4}=\frac{3}{4}$

$\frac{3}{4}$ cup

Exercise 5 – Total milk

$1\times\frac{1}{4}+3\times\frac{1}{2}+3\times\frac{3}{4}+1\times1$

$=\frac{1}{4}+\frac{6}{4}+\frac{9}{4}+\frac{4}{4}=\frac{20}{4}=5$

Multiply each measurement by its number of X’s, then add.

5 cups

Exercise 6 – Milk shared equally

Total: 5 cups. Divide by 8: $5\div8=\frac{5}{8}$.

$\frac{5}{8}$ cup

Exercise 7 – Make a line plot

Tally the data: $\frac{1}{4}$ appears 2 times, $\frac{1}{2}$ appears 3 times, $\frac{3}{4}$ appears 1 time.

Line plot. Each X is one measurement. Label: Length of a ribbon (yards).

2 X’s above 1/4, 3 above 1/2, 1 above 3/4; 6 X’s in all

Exercise 8 – Seedlings taller than three eighths

Count X’s above $\frac{1}{2}$ and $\frac{5}{8}$: $2+1=3$.

3 seedlings

Exercise 9 – Total growth

$\frac{1}{8}+2\times\frac{2}{8}+3\times\frac{3}{8}+2\times\frac{4}{8}+\frac{5}{8}=\frac{1+4+9+8+5}{8}=\frac{27}{8}$

$\frac{27}{8}=3\frac{3}{8}$.

$3\frac{3}{8}$ inches

Exercise 10 – Difference in growth

Greatest: $\frac{5}{8}$. Least: $\frac{1}{8}$.

$\frac{5}{8}-\frac{1}{8}=\frac{4}{8}=\frac{1}{2}$

$\frac{1}{2}$ inch

Exercises 11 and up

Exercise 11 – At least one half inch

“At least” includes $\frac{1}{2}$. Count the X’s above $\frac{1}{2}$ and $\frac{5}{8}$: $2+1=3$.

3 seedlings

Exercise 12 – Short seedlings

Those are 1 seedling of $\frac{1}{8}$ and 2 seedlings of $\frac{1}{4}$.

$\frac{1}{8}+2\times\frac{1}{4}=\frac{1}{8}+\frac{4}{8}=\frac{5}{8}$

$\frac{5}{8}$ inch

Exercise 13 – Level the trays

Total: $\frac{1+3+5+7}{8}=\frac{16}{8}=2$ pounds.

Share: $2\div4=\frac{1}{2}$.

Each tall box holds 1 pound when full.

$\frac{1}{2}$ pound each

Exercise 14 – Trail mix swap

Total: $\frac{2}{4}+\frac{3}{4}+\frac{1}{4}=\frac{6}{4}=\frac{3}{2}$ pounds.

Share among 3: $\frac{3}{2}\div3=\frac{1}{2}$ pound each.

Liam has $\frac{3}{4}$ and keeps $\frac{1}{2}$, so he gives away $\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$ pound.

$\frac{1}{2}$ pound each; Liam gives away $\frac{1}{4}$ pound

Exercise 15 – Apples at the farmers market

(a) $1\frac{1}{2}-\frac{1}{2}=1$ pound.

(b) $2\times\frac{1}{2}+3\times\frac{3}{4}+3\times1+\frac{5}{4}+\frac{3}{2}=1+\frac{9}{4}+3+\frac{5}{4}+\frac{3}{2}=9$ pounds.

Multiply each measurement by its number of X’s, then add.

(a) 1 pound; (b) 9 pounds; (c) $18

Exercise 16 – Water coolers

Total: $\frac{1}{2}+2\times1+2\times\frac{3}{2}+2=\frac{1}{2}+2+3+2=7\frac{1}{2}$ gallons.

Share: $7\frac{1}{2}\div6=\frac{15}{2}\div6=\frac{15}{12}=1\frac{1}{4}$.

Each tall box holds 2 gallon when full.

$1\frac{1}{4}$ gallons each

Exercise 17 – Pitchers of lemonade

Total: $\frac{2}{4}+\frac{3}{4}+\frac{3}{4}+\frac{4}{4}=\frac{12}{4}=3$ quarts.

$3\div4=\frac{3}{4}$.

$\frac{3}{4}$ quart each

Exercise 18 – Bean sprouts

(a) 2 sprouts (the two at $\frac{3}{8}$).

(b) $3\times\frac{1}{2}=1\frac{1}{2}$ inches.

(c) $2\times\frac{3}{8}+3\times\frac{4}{8}+2\times\frac{5}{8}+\frac{6}{8}=\frac{6+12+10+6}{8}=\frac{34}{8}=4\frac{1}{4}$ inches.

(a) 2 sprouts; (b) $1\frac{1}{2}$ in; (c) $4\frac{1}{4}$ in

Exercise 19 – Saturday bike rides

Total: $2\times\frac{1}{2}+3\times\frac{3}{4}+1+\frac{5}{4}=1+\frac{9}{4}+1+\frac{5}{4}=5\frac{1}{2}$ miles.

$8-5\frac{1}{2}=2\frac{1}{2}$.

$2\frac{1}{2}$ miles

Exercise 20 – String for crafts

(a) Plot 2 X’s above $\frac{1}{4}$, 1 above $\frac{1}{2}$, 2 above $\frac{3}{4}$.

Line plot. Each X is one measurement. Label: Length of a string (yards).

(b) $2\times\frac{1}{4}+\frac{1}{2}+2\times\frac{3}{4}=\frac{1}{2}+\frac{1}{2}+\frac{3}{2}=2\frac{1}{2}$ yards.

(b) $2\frac{1}{2}$ yd; (c) $1\frac{1}{2}$ yd

Key facts behind this grade 5 line plots answers

Key facts

Each X on a line plot stands for one measurement.
Multiply the count of X’s by the fraction to find the total at one mark.
Add the totals from all marks to find the sum of all the data.
Equal share = total amount ÷ number of containers.
Greatest value minus least value tells how far the data spread.

How to use this grade 5 line plots answers

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

Download the grade 5 line plots answers as a PDF with the button below and keep it with your notes.

All Grade 5 chapters: Grade 5 math.

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